Show that the electric field at the surface of a charged conductor is given by `vecE = (sigma)/(epsi_(0)) hatn` , where `sigma` is the surface charge density and `hatn` is a unit vector normal to the surface in the outward direction .

Explanation

To show that the electric field at the surface of a charged conductor is given by the equation:

\[ \vec{E} = \frac{\sigma}{\epsilon_0} \hat{n} \]

where \(\sigma\) is the surface charge density and \(\hat{n}\) is a unit vector normal to the surface in the outward direction, we can follow these steps:

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